-2(x-3)+8=4x+2(x-3)

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Solution for -2(x-3)+8=4x+2(x-3) equation:


Simplifying
-2(x + -3) + 8 = 4x + 2(x + -3)

Reorder the terms:
-2(-3 + x) + 8 = 4x + 2(x + -3)
(-3 * -2 + x * -2) + 8 = 4x + 2(x + -3)
(6 + -2x) + 8 = 4x + 2(x + -3)

Reorder the terms:
6 + 8 + -2x = 4x + 2(x + -3)

Combine like terms: 6 + 8 = 14
14 + -2x = 4x + 2(x + -3)

Reorder the terms:
14 + -2x = 4x + 2(-3 + x)
14 + -2x = 4x + (-3 * 2 + x * 2)
14 + -2x = 4x + (-6 + 2x)

Reorder the terms:
14 + -2x = -6 + 4x + 2x

Combine like terms: 4x + 2x = 6x
14 + -2x = -6 + 6x

Solving
14 + -2x = -6 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
14 + -2x + -6x = -6 + 6x + -6x

Combine like terms: -2x + -6x = -8x
14 + -8x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -8x = -6 + 0
14 + -8x = -6

Add '-14' to each side of the equation.
14 + -14 + -8x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -8x = -6 + -14
-8x = -6 + -14

Combine like terms: -6 + -14 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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